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<p>Given <span class="process-math">\(f,\)</span> a function of time, with value <span class="process-math">\(f(t)\)</span> at time <span class="process-math">\(t,\)</span> the Laplace transform of <span class="process-math">\(f\)</span> is denoted <span class="process-math">\(F\)</span> and it gives an average value of <span class="process-math">\(f\)</span> taking over all positive values of <span class="process-math">\(t\)</span> such that the value <span class="process-math">\(F(s)\)</span> represents an average of <span class="process-math">\(f\)</span> taken over all possible time intervals of length <span class="process-math">\(s.\)</span></p>
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